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Finding the Fourth Proportional to 85,647.38, 118,193.38 and 47,928.92

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Solution

The fourth proportional to 85,647.38, 118,193.38 and 47,928.92 is: 66,141.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,647.38 : 118,193.38 = 47,928.92 : x
  2. Step 2: Convert to fraction form
    85,647.38/118,193.38 = 47,928.92/x
  3. Step 3: Cross multiply
    85,647.38x = 118,193.38 × 47,928.92
  4. Step 4: Simplify right side
    85,647.38x = 5,664,880,343.76
  5. Step 5: Solve for x
    x = 5,664,880,343.76/85,647.38
  6. Step 6: Final answer
    x = 66,141.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.